zalesak_dg_error.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "zalesak.h"
Float heaviside (const Float& x) { return (x <= 0) ? 0 : 1; }
int main(int argc, char**argv) {
environment rheolef (argc, argv);
size_t subdivide = (argc > 1) ? atoi(argv[1]) : 1;
Float tol = (argc > 2) ? atof(argv[2]) : 1e-12;
Float meas_gamma = phi_exact(0).perimeter();
branch event ("t","phi");
integrate_option iopt;
iopt.set_family ("equispaced");
iopt.set_order (subdivide);
dout << setprecision(numeric_limits<Float>::digits10)
<< "# meas_gamma = " << meas_gamma << endl
<< "# equispaced("<<subdivide<<")" << endl
<< "# t err_l1 v=(m-m0)/m0 m" << endl;
bool first = true;
Float t = 0, err_linf_l1 = 0, m0 = 0, v_max = 0;
field phi_h;
geo omega;
while (din >> event (t, phi_h)) {
omega = phi_h.get_geo();
Float err_l1 = integrate (omega, abs(compose(heaviside,phi_h)
- compose(heaviside,phi_exact(t))), iopt);
Float m = integrate (omega, 1. - compose(heaviside,phi_h), iopt);
if (first) {
m0 = m;
first = false;
}
Float v = (m-m0)/m0;
dout << t << " " << err_l1/meas_gamma
<< " " << v << " " << m << endl;
err_linf_l1 = max (err_linf_l1, err_l1/meas_gamma);
v_max = max (v_max, abs(v));
}
dout << "# omega.size = " << omega.size() << endl
<< "# omega.hmin = " << omega.hmin() << endl
<< "# err_linf_l1 = " << err_linf_l1 << endl
<< "# v_max = " << v_max << endl;
return (err_linf_l1 < tol && v_max < tol) ? 0 : 1;
}
Float
see the Float page for the full documentation
branch
see the branch page for the full documentation
field
see the field page for the full documentation
geo
see the geo page for the full documentation
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition: integrate_option.h:260
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition: integrate_option.h:254
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
mkgeo_contraction.m0
m0
Definition: mkgeo_contraction.sh:191
mkgeo_sector.m
m
Definition: mkgeo_sector.sh:118
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::compose
details::field_expr_v2_nonlinear_node_nary< typename details::function_traits< Function >::functor_type,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > ::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition: compose.h:246
rheolef.h
rheolef - reference manual
phi_exact
Definition: transport_dg2.h:30
phi_exact::perimeter
Float perimeter() const
Definition: zalesak.h:82
zalesak.h
The Zalesak slotted disk benchmark – the exact solution.
main
int main(int argc, char **argv)
Definition: zalesak_dg_error.cc:30
heaviside
Float heaviside(const Float &x)
Definition: zalesak_dg_error.cc:29